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25% View 5,074 characters Insert Table chart Text shape Medla comment Collaborate Question 2: Aweighted four sided die and a fair six sided Die are thrown. For the weighted die, the probability that the face value is (that is the number showing on the top face is)is, where Let us denote the random variables for the face value of the weighted die by W and the fair die by F. Because, one die is weighted, the outcomes are not equally likely. For example, consider the outcome where the weighted die shows 1 and the fair die shows 4 and not instead of using a tree diagram, use the following two-way table to list out sample spaces for the different scenarios below: Outcomes for DIE 2 Outcomes for DIE 1 1. What is the probability of getting a double? 2. What is the probability that the product of the face values is not a perfect square? 3. What is the probability that both dice show even numbers? A Format Document

Explanation / Answer

1) from above table each cell has probability =1/36

probability of getting a double =6/36=1/6 ; as there are 6 events of getting a double

2)probability =1-P(that it is a perfect square or its a double) =1-6/36=30/36=5/6

3)both shows even numbers =(9/36)=1/4

4)probability that both shows prime numbers =9/36=1/4 (As 2,3,5 are prime numbers)

5)probability =1P(sum is 9+sum is 10 +sum is 11+sum is 12)=1-(4+3+2+1)/36 =1-10/36=13/18

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